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Finding the Fourth Proportional to 432.96, 646.08 and 426.24

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Solution

The fourth proportional to 432.96, 646.08 and 426.24 is: 636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.96 : 646.08 = 426.24 : x
  2. Step 2: Convert to fraction form
    432.96/646.08 = 426.24/x
  3. Step 3: Cross multiply
    432.96x = 646.08 × 426.24
  4. Step 4: Simplify right side
    432.96x = 275,385.14
  5. Step 5: Solve for x
    x = 275,385.14/432.96
  6. Step 6: Final answer
    x = 636.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.